Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600a |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-876000000 = -1 · 28 · 3 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,1437] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1243:1] |
Generators of the group modulo torsion |
j |
-1024/219 |
j-invariant |
L |
6.193027793454 |
L(r)(E,1)/r! |
Ω |
1.2879318092943 |
Real period |
R |
4.8085059736375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43800j1 3504k1 |
Quadratic twists by: -4 5 |